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Saif R. Alsaffar, Jehad R. Kider,
Convex Normed Space. .
Int. J. Math. Comput. Sci., 20, no. 1, (2025), 447-458

DOI:

https://doi.org/10.69793/ijmcs/01.2025/saif

Keywords and phrases:

Convex normed space, Convex metric space, Convex bounded set, convex complete space, Convex continuous operator.

Abstract:

In this paper, the notion of convex absolute value is introduced as a generalization of absolute value and then used to introduce the notion of convex normed space as a generalization of normed space.